Gujarati
14.Waves and Sound
easy

If you set up the ninth harmonic on a string fixed at both ends, its frequency compared to the seventh harmonic

A

Higher

B

Lower

C

Equal

D

None of the above

Solution

(a) Frequency of $9^{t h}$ harmonic $=\frac{9}{2 L} \sqrt{\frac{T}{\mu}}=n$

frequency of $7^{t h}$ harmonic $=\frac{7}{2 L} \sqrt{\frac{T}{\mu}}=n_{1}$

clearly frequency of $9^{t h}$ harmonic,is higher than the seventh harmonic.

Standard 11
Physics

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